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The hafnian of Toeplitz matrices of a special type, perfect matchings and Bessel polynomials

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arxiv 1904.08651 v1 pith:O4HOPNJ7 submitted 2019-04-18 math.CO

classification math.CO
keywords besselhafnianmatchingsmatricesperfectpolynomialsspecialtoeplitz
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We present a simple and convenient analytical formula for efficient exact computation of the hafnian of Toeplitz matrices of a special type. An interpretation of the obtained results is given in the language of perfect matchings and Bessel polynomials.

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